Answer:
a) [tex]y(t) = 350(1.02)^t[/tex]
b) 394 thousand = 394,000 people will be following the website in 2016
Step-by-step explanation:
Exponential equation for an amount:
The exponential equation for an amount after t years has the following format:
[tex]y = y(0)(1+r)^t[/tex]
In which y(0) is the initial value and r is the growth rate, as a decimal.
A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.
This means that: [tex]y(0) = 350, r = 0.02[/tex]
a. Write an exponential growth function that represents the number of followers t years after 2010
In thousands:
[tex]y(t) = 350(1 + 0.02)^t[/tex]
[tex]y(t) = 350(1.02)^t[/tex]
b. How many people will be following the website in 2016?
2016 is 6 years after 2010, so this is y(6).
[tex]y(6) = 350(1.02)^6 = 394.2[/tex]
Rounding to the nearest thousand:
394 thousand = 394,000 people will be following the website in 2016
